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We present a Gedankenexperiment that leads to a violation of detailed balance if quantum mechanical transition probabilities are treated in the usual way by applying Fermi's "golden rule". This Gedankenexperiment introduces a collection of…

量子物理 · 物理学 2020-09-21 Daniel Braak , Jochen Mannhart

We examine the properties of open quantum systems with respect to their time evolution in different regimes, Markovian and non-Markovian. We analyze their behaviour with respect to their coherent or decoherent time evolution by means of…

量子物理 · 物理学 2015-04-01 Tarek Khalil , Jean Richert

Weak invariants are time-dependent observables with conserved expectation values. Their fluctuations, however, do not remain constant in time. On the assumption that time evolution of the state of an open quantum system is given in terms of…

量子物理 · 物理学 2020-10-27 Zeyi Shi , Sumiyoshi Abe

We study long time behavior of a discrete time weakly interacting particle system, and the corresponding nonlinear Markov process in $\mathbb{R}^d$, described in terms of a general stochastic evolution equation. In a setting where the state…

概率论 · 数学 2014-01-16 Amarjit Budhiraja , Abhishek Pal Majumder

Both conservation laws and practical restrictions impose symmetry constraints on the dynamics of open quantum systems. In the case of time-translation symmetry, which arises naturally in many physically relevant scenarios, the quantum…

量子物理 · 物理学 2017-09-14 Matteo Lostaglio , Kamil Korzekwa , Antony Milne

The energy evolution of a quantum chaotic system under the perturbation that harmonically depends on time is studied for the case of large perturbation, in which the rate of transition calculated from the Fermi golden rule exceeds the…

混沌动力学 · 物理学 2009-11-11 P. V. Elyutin

The transition probability for time-dependent unitary evolution is invariant under the reversal of protocols just as in the classical Liouvillian dynamics. In this article, we generalize the expression of microscopic reversibility to…

统计力学 · 物理学 2015-05-28 Takaaki Monnai

In this paper we analyze a system of N identical quantum particles in a weak-coupling regime. The time evolution of the Wigner transform of the one-particle reduced density matrix is represented by means of a perturbative series. The…

数学物理 · 物理学 2009-11-10 D. Benedetto , F. Castella , R. Esposito , M. Pulvirenti

The time evolution of the distribution and shareability of quantum coherence of a tripartite system in a non-Markovian environment is examined. The total coherence can be decomposed into various contributions, ranging from local, global…

The energy evolution of a quantum chaotic system under the perturbation that harmonically depends on time is studied for the case of large perturbation, in which the rate of transition calculated from the Fermi golden rule (FGR) is about or…

混沌动力学 · 物理学 2007-05-23 P. V. Elyutin , A. N. Rubtsov

In this work, we study the stochastic entropy production in open quantum systems whose time evolution is described by a class of non-unital quantum maps. In particular, as in [Phys. Rev. E 92, 032129 (2015)], we consider Kraus operators…

量子物理 · 物理学 2023-06-21 Eliana Fiorelli , Stefano Gherardini , Stefano Marcantoni

We assess non-Markovianity of a quantum open-system dynamics through the violation of temporal bell-like inequalities in a controllable Nuclear Magnetic Resonance system. We investigate experimentally the connections between the violation…

Certain intriguing consequences of the discreteness of time on the time evolution of dynamical systems are discussed. In the discrete-time classical mechanics proposed here, there is an {\it arrow of time} that follows from the fact that…

量子物理 · 物理学 2009-11-11 M. C. Valsakumar

We argue that for Fermi systems with Galilei invariant interaction the time evolution is weakly asymptotically abelian in time invariant states but not norm asymptotically abelian.Consequences for the existence of invariant states are…

数学物理 · 物理学 2020-10-30 Heide Narnhofer

We consider a simple microscopic model where the open-system dynamics of a qubit, despite being Markovian, shows features which are typically associated to the presence of memory effects. Namely, a non monotonic behavior both in the…

量子物理 · 物理学 2021-06-18 Jan F. Haase , Andrea Smirne , Susana F. Huelga

The relation between the thermodynamic entropy production and non-Markovian evolutions is matter of current research. Here, we study the behavior of the stochastic entropy production in open quantum systems undergoing unital non-Markovian…

量子物理 · 物理学 2020-08-19 Stefano Gherardini , Stefano Marcantoni , Filippo Caruso

Fermi's golden rule applies to a situation in which a single quantum state $|\psi\rangle$ is coupled to a near-continuum. This "quasi-continuum coupling" structure results in a rate equation for the population of $|\psi\rangle$. Here we…

量子物理 · 物理学 2017-11-30 Siddhartha Santra , Benjamin Cruikshank , Radhakrishnan Balu , Kurt Jacobs

The act of measurement on a quantum state is supposed to "collapse" the state into one of several eigenstates of the operator corresponding to the observable being measured. This measurement process is sometimes described as outside…

量子物理 · 物理学 2021-10-26 Satish Ramakrishna

We construct a large class of completely positive and trace preserving non-Markovian dynamical maps for an open quantum system. These maps arise from a piecewise dynamics characterized by a continuous time evolution interrupted by jumps,…

量子物理 · 物理学 2014-04-03 Bassano Vacchini

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

统计力学 · 物理学 2020-10-07 Federico Carollo , Carlos Pérez-Espigares
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